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Finding the Fourth Proportional to 9,826.92, 13,484.88 and 8,935.92

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Solution

The fourth proportional to 9,826.92, 13,484.88 and 8,935.92 is: 12,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.92 : 13,484.88 = 8,935.92 : x
  2. Step 2: Convert to fraction form
    9,826.92/13,484.88 = 8,935.92/x
  3. Step 3: Cross multiply
    9,826.92x = 13,484.88 × 8,935.92
  4. Step 4: Simplify right side
    9,826.92x = 120,499,808.89
  5. Step 5: Solve for x
    x = 120,499,808.89/9,826.92
  6. Step 6: Final answer
    x = 12,262.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.